Nonlinear nonlocal elliptic problems in ℝ3: existence results and qualitative properties

We consider the following nonlinear nonlocal elliptic problem: [formula], where a, b > 0 are constants, λ > 0 is a parameter, α ∈ (0,3), and G ∈ C1 (R,R). By using variational methods, we establish the existence of least energy solutions for the above equation under conditions on the nonlinearity G we believe to be almost necessary. Some qualitative properties of the least energy solutions are also obtained

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Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).